A364051 G.f. satisfies A(x) = 1 + x*A(x)^2 / (1 + x*A(x)^5).

1, 1, 1, -3, -21, -41, 166, 1460, 3445, -13503, -136721, -364412, 1285021, 14694643, 43144726, -132548857, -1709480698, -5456400119, 14285376285, 209281385564, 720201663662, -1572818128366, -26541960203077, -97918748134874, 173825501585400, 3453517916428141

Offset

0,4

Links

Table of n, a(n) for n=0..25.

Formula

a(n) = (1/n) * Sum_{k=0..n-1} (-1)^k * binomial(n,k) * binomial(2*n+3*k,n-1-k) for n > 0.

Prog

(PARI) a(n) = if(n==0, 1, sum(k=0, n-1, (-1)^k*binomial(n, k)*binomial(2*n+3*k, n-1-k))/n);

Crossrefs

Cf. A291534, A363982, A364764.

Cf. A364740.

Sequence in context: A056387 A056377 A146712 * A318549 A217000 A360316

Adjacent sequences: A364048 A364049 A364050 * A364052 A364053 A364054

Keyword

sign

Author

Seiichi Manyama, Aug 05 2023

Status

approved